Bistable chaotic family and its chaotic mechanism

Guanghui Cheng and Rong Gui

Chaos, Solitons & Fractals, 2022, vol. 162, issue C

Abstract: The emergence of many chaotic families shows that chaos can be generated by deterministic approaches. From the perspective of the mechanism of chaos, we add the opposite time-delayed effects to an overdamped bistable system to obtain chaos. The effect of time delay is determined by the change of the optimal window which origin from logical stochastic resonance. A variety of chaotic systems with different chaotic attractors are obtained by different combinations of opposite effects. Furthermore, we propose the mechanism of chaos in time-delayed bistable systems, that is, the opposite time-delayed effects lead to repeated increasing and decreasing in depth of potential wells. This mechanism is verified by constructing a force-free Duffing equation with an oscillatory double-well potential. Results show that the bistable systems can form bistable chaotic family based on the same chaos generation mechanism.

Keywords: Bistable system; Time delay; Logical stochastic resonance; chaos; Duffing equation (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006178

DOI: 10.1016/j.chaos.2022.112407

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